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Simplifying 3m5 = 48m3 Solving 3m5 = 48m3 Solving for variable 'm'. Reorder the terms: -48m3 + 3m5 = 48m3 + -48m3 Combine like terms: 48m3 + -48m3 = 0 -48m3 + 3m5 = 0 Factor out the Greatest Common Factor (GCF), '3m3'. 3m3(-16 + m2) = 0 Factor a difference between two squares. 3m3((4 + m)(-4 + m)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm3' equal to zero and attempt to solve: Simplifying m3 = 0 Solving m3 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(4 + m)' equal to zero and attempt to solve: Simplifying 4 + m = 0 Solving 4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + m = 0 + -4 m = 0 + -4 Combine like terms: 0 + -4 = -4 m = -4 Simplifying m = -4Subproblem 3
Set the factor '(-4 + m)' equal to zero and attempt to solve: Simplifying -4 + m = 0 Solving -4 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + m = 0 + 4 m = 0 + 4 Combine like terms: 0 + 4 = 4 m = 4 Simplifying m = 4Solution
m = {-4, 4}
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